← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 366 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹48 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  5. 5.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  9. 9.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 4 kg of tea at ₹70 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.Rice at ₹48 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 3 kg of tea at ₹116 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  17. 17.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  18. 18.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹94 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  21. 21.A grocer mixes 2 kg of tea at ₹107 per kg with 8 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  23. 23.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A grocer mixes 11 kg of tea at ₹22 per kg with 9 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  28. 28.Rice at ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  33. 33.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  34. 34.Rice at ₹79 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  38. 38.Rice at ₹80 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 75
  2. 14
  3. 3
  4. 15
  5. 16
  6. 18
  7. 40
  8. 28
  9. 70
  10. 56
  11. 25
  12. 7
  13. 36
  14. 60
  15. 68
  16. 16
  17. 21
  18. 30
  19. 44
  20. 36
  21. 47
  22. 8
  23. 50
  24. 3
  25. 1
  26. 58
  27. 16
  28. 9
  29. 4
  30. 40
  31. 25
  32. 6
  33. 20
  34. 3
  35. 50
  36. 3
  37. 9
  38. 8
  39. 4
  40. 52

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude